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Commit-and-open Sigma-protocols are a popular class of protocols for constructing non-interactive zero-knowledge arguments and digital-signature schemes via the Fiat-Shamir transformation. Instantiated with hash-based commitments, the…

Cryptography and Security · Computer Science 2022-03-02 Jelle Don , Serge Fehr , Christian Majenz , Christian Schaffner

The Fischlin transform yields non-interactive zero-knowledge proofs with straight-line extractability in the classical random oracle model. This is done by forcing a prover to generate multiple accepting transcripts through a proof-of-work…

Cryptography and Security · Computer Science 2026-02-20 Christian Majenz , Jaya Sharma

We revisit the so-called compressed oracle technique, introduced by Zhandry for analyzing quantum algorithms in the quantum random oracle model (QROM). To start off with, we offer a concise exposition of the technique, which easily extends…

Quantum Physics · Physics 2021-07-12 Kai-Min Chung , Serge Fehr , Yu-Hsuan Huang , Tai-Ning Liao

The goal of randomness extraction is to distill (almost) perfect randomness from a weak source of randomness. When the source yields a classical string X, many extractor constructions are known. Yet, when considering a physical randomness…

Quantum Physics · Physics 2014-05-14 Mario Berta , Omar Fawzi , Stephanie Wehner

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

Machine Learning · Computer Science 2017-09-12 Dan Garber

Reversible work extraction from identical quantum systems via collective operations was shown to be possible even without producing entanglement among the sub-parts. Here, we show that implementing such global operations necessarily imply…

Quantum Physics · Physics 2015-03-31 Gian Luca Giorgi , Steve Campbell

The interest in post-quantum cryptography - classical systems that remain secure in the presence of a quantum adversary - has generated elegant proposals for new cryptosystems. Some of these systems are set in the random oracle model and…

Quantum Physics · Physics 2022-07-05 Dan Boneh , Özgür Dagdelen , Marc Fischlin , Anja Lehmann , Christian Schaffner , Mark Zhandry

We consider a generalization of the standard oracle model in which the oracle acts on the target with a permutation selected according to internal random coins. We describe several problems that are impossible to solve classically but can…

Quantum Physics · Physics 2013-10-09 Aram W. Harrow , David J. Rosenbaum

By considering an unreliable oracle in a query-based model of quantum learning, we present a tradeoff relation between the oracle's reliability and the reusability of quantum state of the input data. The tradeoff relation manifests as the…

Quantum Physics · Physics 2019-05-15 Jeongho Bang , Arijit Dutta , Seung-Woo Lee , Jaewan Kim

Let $(Y_t)_{t\geq 1}$ be a sequence of i.i.d.\ observations and $\{f_\theta,\theta\in \mathbb{R}^d\}$ be a parametric model. We introduce a new online algorithm for computing a sequence $(\hat{\theta}_t)_{t\geq 1}$ which is shown to…

Statistics Theory · Mathematics 2020-10-20 Mathieu Gerber , Kari Heine

The random oracle model (ROM) enjoys widespread popularity, mostly because it tends to allow for tight and conceptually simple proofs where provable security in the standard model is elusive or costly. While being the adequate replacement…

Quantum Physics · Physics 2022-01-28 Alex B. Grilo , Kathrin Hövelmanns , Andreas Hülsing , Christian Majenz

In this paper, we prove that it is possible to estimate online the parameters of a classical vector linear regression equation $ Y=\Omega \theta$, where $ Y \in \mathbb{R}^n,\;\Omega \in \mathbb{R}^{n \times q}$ are bounded, measurable…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Marina Korotina , Jose Guadalupe Romero , Stanislav Aranovskiy , Alexey Bobtsov , Romeo Ortega

In his seminal work on recording quantum queries [Crypto 2019], Zhandry studied interactions between quantum query algorithms and the quantum oracle corresponding to random functions. Zhandry presented a framework for interpreting various…

Quantum Physics · Physics 2022-01-21 Ansis Rosmanis

We provide bounds on the efficiency of secure one-sided output two-party computation of arbitrary finite functions from trusted distributed randomness in the statistical case. From these results we derive bounds on the efficiency of…

Cryptography and Security · Computer Science 2014-05-09 Severin Winkler , Jürg Wullschleger

Coherence, a strictly quantum phenomenon, has found many applications, from quantum information theory and thermodynamics to quantum foundations and biology. When physical constraints are taken into consideration creation of coherence in a…

Quantum Physics · Physics 2020-04-29 Nikolaos K. Kollas , Kostas Blekos

Quantum-proof randomness extractors are an important building block for classical and quantum cryptography as well as device independent randomness amplification and expansion. Furthermore they are also a useful tool in quantum Shannon…

Quantum Physics · Physics 2017-05-05 Mario Berta , Omar Fawzi , Volkher B. Scholz

This paper considers a class of real-time decision making problems to minimize the expected value of a function that depends on a random variable $\xi$ under an unknown distribution $\mathbb{P}$. In this process, samples of $\xi$ are…

Optimization and Control · Mathematics 2020-09-08 Dan Li , Sonia Martinez

We study the (quantum) security of pseudorandom generators (PRGs) constructed from random oracles. We prove a "lifting theorem" showing, roughly, that if such a PRG is unconditionally secure against classical adversaries making polynomially…

Cryptography and Security · Computer Science 2025-06-02 Jonathan Katz , Ben Sela

A conditional sampling oracle for a probability distribution D returns samples from the conditional distribution of D restricted to a specified subset of the domain. A recent line of work (Chakraborty et al. 2013 and Cannone et al. 2014)…

Data Structures and Algorithms · Computer Science 2016-08-18 Themistoklis Gouleakis , Christos Tzamos , Manolis Zampetakis

An extractor is a function E that is used to extract randomness. Given an imperfect random source X and a uniform seed Y, the output E(X,Y) is close to uniform. We study properties of such functions in the presence of prior quantum…

Quantum Physics · Physics 2008-02-04 Robert Koenig , Barbara M. Terhal
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